|
|||||
|
|
Analytical Solution for Two-Dimensional Solute Transport in Finite Aquifer with Time-Dependent Source Concentration |
|
| Authors: | Mritunjay Kumar Singh Premlata Singh Vijay P. Singh |
| Affiliation: | 1Associate Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India (corresponding author). E-mail: drmks29@rediffmail.com 2Ph.D. Candidate, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India. E-mail: prema.singh@rediffmail.com 3Caroline and William N. Lehrer Distinguished Chair in Water Engineering and Professor, Dept. of Biological and Agricultural Engineering and Dept. of Civil and Environmental Engineering, Texas A&M Univ., 321 Scoates Hall, 2117 TAMU, College Station, TX 77843-2117. E-mail: vsingh@tamu.edu |
| Abstract: | Using the Hankel Transform Technique, an analytical solution is derived for two-dimensional solute transport in a homogeneous isotropic aquifer. The aquifer is subjected to time-dependent point source contamination. The solution is derived under two conditions: (1) the flow velocity in the aquifer is a sinusoidally varying function and (2) the flow velocity is an exponentially decreasing function. Initially the aquifer is assumed solute free. The analytical solution is illustrated using an example. |
| Keywords: | Solutes Groundwater pollution Aquifers Analytical techniques |